A country with three states has 200 seats in the legislature. The population of each state is

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A country with three states has 200 seats in the legislature. The population of each state is shown in the table below. 

State Total A B Population 233,000 461,000 306,000 1,000,000

(a) Apportion the seats using Hamilton’s method. 

(b) Does the Alabama paradox occur using Hamilton’s method if the number of seats is increased from 200 to 201? Explain your answer.


When appropriate, round quotas and divisors to the nearest hundredth.

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A Survey of Mathematics with Applications

ISBN: 978-0134112107

10th edition

Authors: Allen R. Angel, Christine D. Abbott, Dennis Runde

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